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Section and lifting in fibered product

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#algebraic-topology
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Covering spaces of $S^1 \vee S^1$ or figure-$8$-space.

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#algebraic-topology #covering-spaces
758
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Why is covering map a fibration? Incorrect proof?

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#algebraic-topology
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Homotopic maps induce the same homomorphism for reduced homology groups

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#proof-verification #algebraic-topology #homology-cohomology
167
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Homology of an equivariant product

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#algebraic-topology #group-cohomology #equivariant-topology
980
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Künneth Theorem For Product of Projective Spaces

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#algebraic-topology #homology-cohomology
226
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Proof verification: the homology groups of the cube.

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#proof-verification #algebraic-topology #homology-cohomology
719
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The fundamental group of Klein bottle/{3pt}

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#algebraic-topology #fundamental-groups #klein-bottle
99
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Compact 3-dimensional extension of two-dimensional torus

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#general-topology #algebraic-topology #homotopy-theory
573
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Two short exact sequences of abelian groups

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#proof-verification #algebraic-topology #abelian-groups
100
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Betti sum, cup-length, Lusternik-Schnirelmann category, and critical points

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#algebraic-topology #fixed-point-theorems #betti-numbers
66
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Software for calculating simplicial homology (over the integers)

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#reference-request #algebraic-topology #homology-cohomology #math-software
1.3k
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How to prove CP^1 homeomorphic two-dimensional sphere

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#algebraic-topology
98
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Relation between Atiyah-Singer and Atiyah-Hitchin-Singer index theorems

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#analysis #differential-geometry #algebraic-topology #differential-topology #mathematical-physics
443
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Is there any Kunneth formula for homology group with cofficient in an abelian group

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#abstract-algebra #algebraic-topology #homology-cohomology #homological-algebra

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